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otez555 [7]
3 years ago
10

Whats the domain? someone pleaseee

Mathematics
1 answer:
ziro4ka [17]3 years ago
8 0
-infinity, positive infinity
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Men consume on average 15 grams of protein a day. Assume a normal distribution with a standard deviation of 3 grams. A sample of
tatyana61 [14]

Using the normal distribution, there is a 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

For this problem, the parameters are given as follows:

\mu = 15, \sigma = 3, n = 40, s = \frac{3}{\sqrt{40}} = 0.4743

The probability is the <u>p-value of Z when X = 16 subtracted by the p-value of Z when X = 15</u>, hence:

X = 16:

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{16 - 15}{0.4743}

Z = 2.11

Z = 2.11 has a p-value of 0.9826.

X = 15:

Z = \frac{X - \mu}{s}

Z = \frac{15 - 15}{0.4743}

Z = 0

Z = 0 has a p-value of 0.5.

0.9826 - 0.5 = 0.4826 = 48.26% probability that the sample mean is between 15 and 16 grams per day.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

4 0
2 years ago
Can I get steps on how to solve this?
LUCKY_DIMON [66]

Answer:divided the total buy 9 and if I’m reading correctly the total is two

Step-by-step explanation:

6 0
2 years ago
Craig and Alissa are building a sandcastle on the beach. They each have a bucket. Craig's bucket holds 1/2 pound of sand and Ali
Nitella [24]
<h3>Amount of sand craig and Alissa collect together at one time is 1.4 pounds</h3>

<em><u>Solution:</u></em>

Given that,

Craig and Alissa are building a sandcastle on the beach. They each have a bucket

Craig's bucket holds 1/2 pound of sand and Alissa's bucket holds 9/10 pound of sand

Therefore,

Craig\ bucket = \frac{1}{2}\ pound\\\\Alissa\ bucket = \frac{9}{10}\ pound

<em><u>How much sand can craig Alissa collect together at one time</u></em>

Add both, we get

Collect\ together = \frac{1}{2} + \frac{9}{10}\\\\Collect\ together = \frac{1 \times 5}{2 \times 5} + \frac{9}{10}\\\\Collect\ together = \frac{5}{10} + \frac{9}{10}\\\\Collect\ together = \frac{9+5}{10}\\\\Collect\ together = \frac{14}{10} = \frac{7}{5} = 1.4\\\\In\ mixed\ fractions,\\\\Collect\ together = 1\frac{2}{5}

Thus, amount of sand craig and Alissa collect together at one time is 1.4 pounds

4 0
3 years ago
Nine less than the quotient of two and a number x
Sati [7]
Your answer is 2/x-9
4 0
3 years ago
Read 2 more answers
You earn $5 for every friendship bracelet you sell. Write and solve an equation to find the numbers of bracelets you have to sel
swat32

$85 ÷ 5 = 17

You have to sell 17 more friendship bracelets to get $85


7 0
3 years ago
Read 2 more answers
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